Question

Plot a phase diagram, using Mathematica or similar graphing program, for a harmonic oscillator with initial...

Plot a phase diagram, using Mathematica or similar graphing program, for a harmonic oscillator with initial conditions x(t = 0) = x0, x˙(t = 0) = 0, and the following values of the damping parameter β: (a) β = 0 (undamped) (b) β = 0.5ω0 (underdamped) (c) β = 1ω0 (critically damped) (d) β = 2ω0 (overdamped) (e) Comment on the behavior of the curves in each case (a) - (d) above. Note: select a total time which is long enough to capture the important features of the phase diagram.

Science   Advanced-Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

x axis of all the plots denotes time (t), and y axis of all the plots x/x_0. The plots are attached in a,b,c,d order.

And here comes the explanations.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A damped harmonic oscillator of mass m has a natural frequency ω0, and it is tuned...
A damped harmonic oscillator of mass m has a natural frequency ω0, and it is tuned so that β = ω0. a) At t = 0, its position is x0 and its velocity is v0. Find x(t) for t > 0 b)If x0 = 0.2 m and ω0 = 3 s−1 , obtain a condition on v0 necessary for the oscillator to pass through the equilibrium position (x(t) = 0) at a finite time t.
Consider the driven damped harmonic oscillator m(d^2x/dt^2)+b(dx/dt)+kx = F(t) with driving force F(t) = FoSin(wt). Consider...
Consider the driven damped harmonic oscillator m(d^2x/dt^2)+b(dx/dt)+kx = F(t) with driving force F(t) = FoSin(wt). Consider the overdamped case (b/2m)^2 < k/m a. Find the steady state solution. b. Find the solution with initial conditions x(0)=0, x'(0)=0. c. Use a plotting program to plot your solution for m=1, k=0.1, b=1, Fo=0.25, and w=0.5.
The motion of an underdamped oscillator is described by equation x=Ae−(b/2m)tcos(ω′t+ϕ). Let the phase angle ϕ...
The motion of an underdamped oscillator is described by equation x=Ae−(b/2m)tcos(ω′t+ϕ). Let the phase angle ϕ be zero. Part A According to this equation, what is the value of x at t=0? Express your answer in terms of the variables A, b, m, ω, and ϕ. x(0) = A SubmitMy AnswersGive Up Correct Part B What is the magnitude of the velocity at t=0? Express your answer in terms of the variables A, b, m, ω, and ϕ. vx(0) =...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT